I think, not necessarily. If your child's dad makes more money than you, that can be a factor. If he is behind in his own child support, that can be a factor.
I live in Ohio, and my son (years ago) went to live with his dad. I did not have to pay child support, due to the above mentioned reasons.
Also, my step-daughter lived with us for a while, and her mother did not have to pay. My husband wasn't behind in child support, but he did make more money than her.
So maybe it depends on which state that you live in. I would find a good attorney, or visit the law library at your courthouse.
Good luck!

Yes you would still have to pay child support because the court looks at it as being in the best interest of the child to be supported by both parents. Even if you were not working you would still be responsible for paying child support until the child is emancipated. The court only cares about what is best for the child as they should.
Good Luck!

Yes you will have to pay support. Did you get support while your child was living with you? If yes, then is only right the father should get support while he is living with his dad. It doesnt matter if you both work or not, the child is to be supported by both parents is how the courts look at it.

I really think its an agreement between you and the father. People go so far as running getting the courts involved all the time. If you are cool with the father then it can be worked out. I have a friend whose son went to live with the father.Now she was getting child support from him but she dropped it and she does for him just like he was living there..buying clothes etc. It all depends on how mature you both are at handling this.

As far as I know, as long as the child is under 18, the noncustodial parent has to pay child support.
You probably need to talk with an attorney to see how to keep the child support affordable but they always require something from the non custodial parent, even if it is the child that makes the decision. You might also try to block the child's changing residences based on their not being able to enter into contracts on their own, but that is a long shot.

Yes I think you would. It depends on how much access time you had with him and the difference between your salaries. It would be better if you sorted something out between you though it would save you a lot of hassle and money.